GCF of 3890/249, 3059/4877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3890/249, 3059/4877 i.e 1/1214373 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3890/249, 3059/4877.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3890/249,3059/4877?
Given fractions are 3890/249,3059/4877
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3890/249,3059/4877, numerators are 3890,3059
Denominators are 249,4877
The GCF of 3890,3059 is 1 .
LCM of 249,4877 is 1214373.
The greatest common factor of 3890/249,3059/4877 = [GCF of 3890,3059]/[LCM of 249,4877]= 1/1214373
Therefore, the GCF of 3890/249,3059/4877 is 1/1214373.
To find the highest common factor of 3890,3059, we have to find the factors of both numbers and list the highest common factor.
The factors of 3890 are 1, 2, 5, 10, 389, 778, 1945, 3890
The factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059
The HCF of 3890,3059 is 1.
Lets's calculate GCF of 3890,3059
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3890,3059 By Matching Biggest Common Factor Method
Now, list down the factors of 3890
:1,2,5,10,389,778,1945,3890
Now, list down the factors of 3059
:1,7,19,23,133,161,437,3059
Greatest Common Factor
We found the factors 3890,3059 . The biggest common factor number is the GCF number.
So the greatest common factor 3890,3059 is 1.
Lets's calculate LCM of 249,4877
Given numbers has no common factors except 1. So, there LCM is their product i.e 1214373
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1214373
Therefore, the GCF of Fractions 3890/249,3059/4877 is 1/1214373
Least Common Multiple of 249,4877 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 249,4877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,4877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,4877) x common factors =1 x 1 = 1
LCM(249,4877) = ( 249 × 4877 ) / 1
LCM(249,4877) = 1214373 / 1
LCM(249,4877) = 1214373
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FAQs on GCF of Fractions of 3890/249, 3059/4877
1. What is the HCF of 3890,3059?
The HCF of 3890,3059 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3890/249, 3059/4877?
Answer: GCF of Numerators as per given numbers 3890/249, 3059/4877 is
GCF of Numerators i.e. for 3890,3059 is 1
LCM of denominators i.e. for 249,4877 is 1214373.
Thus, GCF of Fractions is 1/1214373.Finally, GCF of Fractions for 3890/249, 3059/4877 is 1/1214373.